az? + sin y f(x, y) = and let L = lim(z,p) >(0,0) f(x, y). Which 29z² + y? of the following statements is correct? Türkçe: a sıfırdan farklı ve a + 29 olsun. Eğer az? + sin? y 29z² + y? f(x, y) = ve L = lim(z,9) >(0,0) f(x, y) ise aşağıdaki cümlelerden hangisi doğrudur? O L does not exist because the limit as (xy) goes to (0,0) along the x-axis is different from the one along the y-axis. (x-ekseni ve y-ekseni üzerinde limitler farklı olduğu için L yoktur.) O L=a/29 O L-1 O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur). O L exists if a=30 because in this case the limit as (xy) goes to (0,0) along x=0 is the same as the one along y=x. (Eğer a=30 ise limit vardır çünkü bu durumda x=0 ve y=x doğruları üzerinde limitler aynıdır.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let a be a nonzero constant such that a + 29. Let
ax? + sin? y
f(x, y)
and let L = limz,1) >(0,0) f(x, y). Which
29x? + y?
of the following statements is correct?
Türkçe: a sıfırdan farklı ve a + 29 olsun. Eğer
ax? + sin“ y ve L = lim(2,9) >(0,0) f(x, Y) ise
29x2 + y?
f(x, y) :
aşağıdaki cümlelerden hangisi doğrudur?
O L does not exist because the limit as (x.y) goes to (0,0) along
the x-axis is different from the one along the y-axis. (x-ekseni
ve y-ekseni üzerinde limitler farklı olduğu için L yoktur.)
O L=a/29
O L=1
O L does not exist because f is undefined at (0,0). (f fonksiyonu
(0,0) noktasında tanımsız olduğu için L yoktur).
O L exists if a= 30 because in this case the limit as (x,y) goes to
(0,0) along x=0 is the same as the one along y=x. (Eğer a=30
ise limit vardır çünkü bu durumda x=0 ve y=x doğruları
üzerinde limitler aynıdır.)
Transcribed Image Text:Let a be a nonzero constant such that a + 29. Let ax? + sin? y f(x, y) and let L = limz,1) >(0,0) f(x, y). Which 29x? + y? of the following statements is correct? Türkçe: a sıfırdan farklı ve a + 29 olsun. Eğer ax? + sin“ y ve L = lim(2,9) >(0,0) f(x, Y) ise 29x2 + y? f(x, y) : aşağıdaki cümlelerden hangisi doğrudur? O L does not exist because the limit as (x.y) goes to (0,0) along the x-axis is different from the one along the y-axis. (x-ekseni ve y-ekseni üzerinde limitler farklı olduğu için L yoktur.) O L=a/29 O L=1 O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur). O L exists if a= 30 because in this case the limit as (x,y) goes to (0,0) along x=0 is the same as the one along y=x. (Eğer a=30 ise limit vardır çünkü bu durumda x=0 ve y=x doğruları üzerinde limitler aynıdır.)
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